Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/20ba2ac4-a6d3-4042-937e-b0d56b5c4826/result_image/1595269331.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014335Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=015bf4053089c1bbe69f961dfedbf438f8525985343634a66b2518dbb07a5cbf)
Work Step by Step
We are given: $y=-2x^2-1$
Make a table of values
$x=-1 \rightarrow y=-3$
$x=0 \rightarrow y=-1$
$x=1 \rightarrow y=-3$
The vertex is $(0,-1)$. It is a maximum.
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